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Finding the Fourth Proportional to 211.15, 314.98 and 177.13

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Solution

The fourth proportional to 211.15, 314.98 and 177.13 is: 264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.15 : 314.98 = 177.13 : x
  2. Step 2: Convert to fraction form
    211.15/314.98 = 177.13/x
  3. Step 3: Cross multiply
    211.15x = 314.98 × 177.13
  4. Step 4: Simplify right side
    211.15x = 55,792.41
  5. Step 5: Solve for x
    x = 55,792.41/211.15
  6. Step 6: Final answer
    x = 264.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.